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Birkhäuser

Visions in Mathematics

GAFA 2000 Special Volume, Part I pp. 1-453

  • Book
  • © 2010

Overview

Editors:
  1. N. Alon

    1. School of Mathematical Sciences, University of Tel Aviv, Israel

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  2. J. Bourgain

    1. School of Mathematics Institute for Advanced Study, Princeton University, Princeton, USA

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  3. A. Connes

    1. Collège de France, Paris cedex 05, France

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  4. M. Gromov

    1. Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

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  5. V. Milman

    1. Department of Mathematics, University of Tel Aviv, Tel Aviv, Israel

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Part of the book series: Modern Birkhäuser Classics (MBC)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xv
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  2. Gauß—Manin Determinant Connections and Periods for Irregular Connections

    • Spencer Bloch, Hélène Esnault
    Pages 1-31

  3. Problems in Hamiltonian PDE’S

    • J. Bourgain
    Pages 32-56

  4. On a Classical Limit of Quantum Theory and the Non-Linear Hartree Equation

    • Jürg Fröhlich, Tai-Peng Tsai, Horng-Tzer Yau
    Pages 57-78

  5. Rough Structure and Classification

    • W. T. Gowers
    Pages 79-117

  6. Spaces and Questions

    • Misha Gromov
    Pages 118-161

  7. Classification of Infinite-Dimensional Simple Groups of Supersymmetries and Quantum Field Theory

    • Victor G. Kac
    Pages 162-183

  8. Geometrization in Representation Theory

    • D. Kazhdan
    Pages 184-187

  9. Geometric and Unipotent Crystals

    • Arkady Berenstein, David Kazhdan
    Pages 188-236

  10. γ-Functions of Representations and Lifting

    • A. Braverman, D. Kazhdan
    Pages 237-278

  11. PDE as a Unified Subject

    • Sergiu Klainerman
    Pages 279-315

  12. Lessons for Turbulence

    • Antti Kupiainen
    Pages 316-333

  13. The Mathematics of the Second Law of Thermodynamics

    • Elliott H. Lieb, Jakob Yngvason
    Pages 334-358

  14. Discrete and Continuous: Two Sides of the Same?

    • László Lovász
    Pages 359-382

  15. Pythagorean and Platonic Conceptions in XXth Century Physics

    • Yuyal Ne’eman
    Pages 383-405

  16. 1. Classical and Modern Topology 2. Topological Phenomena in Real World Physics

    • Sergey P. Novikov
    Pages 406-424

  17. Some Problems in the Theory of Dynamical Systems and Mathematical Physics

    • Ya. G. Sinai
    Pages 425-433

  18. Some Geometrical Concepts Arising in Harmonic Analysis

    • Elias M. Stein
    Pages 434-453
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Keywords

About this book

"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas.

The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest.

This is the first part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.

Editors and Affiliations

  • School of Mathematical Sciences, University of Tel Aviv, Israel

    N. Alon

  • School of Mathematics Institute for Advanced Study, Princeton University, Princeton, USA

    J. Bourgain

  • Collège de France, Paris cedex 05, France

    A. Connes

  • Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

    M. Gromov

  • Department of Mathematics, University of Tel Aviv, Tel Aviv, Israel

    V. Milman

Bibliographic Information

  • Book Title: Visions in Mathematics

  • Book Subtitle: GAFA 2000 Special Volume, Part I pp. 1-453

  • Editors: N. Alon, J. Bourgain, A. Connes, M. Gromov, V. Milman

  • Series Title: Modern Birkhäuser Classics

  • DOI: https://doi.org/10.1007/978-3-0346-0422-2

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Softcover ISBN: 978-3-0346-0421-5Published: 22 March 2010

  • eBook ISBN: 978-3-0346-0422-2Published: 31 March 2011

  • Series ISSN: 2197-1803

  • Series E-ISSN: 2197-1811

  • Edition Number: 1

  • Number of Pages: XVI, 454

  • Topics: Mathematics, general

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